Determine if there is a linear relation among air temperature 1 wind speed x2, a

Question

Determine if there is a linear relation among air temperature 1 wind speed x2, and wind chill y. The following data show the measured values for various days |x1 | 30 |-30| 30 | 30 |-101-10| 0 | 0 |-20| 20-301-301 10-201 230 70 20 5020 5040 10 4090 100 50 80 30 ?? ? ?96 6 -8??44 -62-44 22 -701-32 -104-88 -44E64 (a) Find the least-squares regression equation y bo tbiib2 where xi is air temperature and x2 is wind speed, and y is the response variable, wind chill. 5-1 + ?x 1 + ?x2 (Round to three decimal places as needed.)

Explanation / Answer

applying multiple regression on above data:

a)

least square regression equation:

Yhat =-25.018+(1.334)x1+(-0.414)x2

( please revert if there are other parts of this

Regression Statistics Multiple R 0.9963 R Square 0.9926 Adjusted R Square 0.9912 Standard Error 3.2588 Observations 14.0000 ANOVA df SS MS F Significance F Regression 2 15659.18 7829.59 737.2477 1.92E-12 Residual 11 116.8203 10.62003 Total 13 15776 Coefficients Standard Error t Stat P-value Lower 95% Upper 95% Lower 95.0% Upper 95.0% Intercept -25.018 1.839 -13.605 0.000 -29.065 -20.971 -29.065 -20.971 x1 1.334 0.040 33.155 0.000 1.246 1.423 1.246 1.423 x2 -0.414 0.034 -12.310 0.000 -0.488 -0.340 -0.488 -0.340

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